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A027467 Triangle whose (n,k)-th entry is binomial(n,k)*15^(n-k). 5
1, 15, 1, 225, 30, 1, 3375, 675, 45, 1, 50625, 13500, 1350, 60, 1, 759375, 253125, 33750, 2250, 75, 1, 11390625, 4556250, 759375, 67500, 3375, 90, 1, 170859375, 79734375, 15946875, 1771875, 118125, 4725, 105, 1, 2562890625, 1366875000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..37.

FORMULA

Numerators of lower triangle of (a[ i, j ])^4 where a[ i, j ] = Binomial(i-1, j-1)/2^(i-1) if j<=i, 0 if j>i

Sum_{k, 0<=k<=n}T(n,k)*x^k=(15+x)^n.

EXAMPLE

Triangle begins:

1,

15,         1,

225,        30,         1,

3375,       675,        45,        1,

50625,      13500,      1350,      60,       1,

759375,     253125,     33750,     2250,     75,      1,

11390625,   4556250,    759375,    67500,    3375,    90,     1,

170859375,  79734375,   15946875,  1771875,  118125,  4725,   105,  1,

2562890625, 1366875000, 318937500, 42525000, 3543750, 189000, 6300, 120, 1,

etc.

MATHEMATICA

Table[Binomial[n, k]15^(n-k), {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Dec 31 2017 *)

CROSSREFS

Cf. A007318.

Sequence in context: A131514 A049327 A030527 * A049375 A049224 A223517

Adjacent sequences:  A027464 A027465 A027466 * A027468 A027469 A027470

KEYWORD

nonn,tabl

AUTHOR

Olivier Gérard

EXTENSIONS

Simpler definition from Philippe Deléham, Nov 10 2008

STATUS

approved

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Last modified November 13 13:15 EST 2018. Contains 317149 sequences. (Running on oeis4.)